Complete orthogonal decomposition homomorphisms between matrix ordered Hilbert spaces

DOI10.1090/S0002-9939-00-05745-2zbMath0972.46039OpenAlexW1483124102MaRDI QIDQ2701592

Kiminao Nishiyama, Yasuhide Miura

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05745-2

zbMATH Keywords

completely positive maporder isomorphismselfdual coneassociated reduced von Neumann algebrascomplete orthogonal decomposition homomorphismmatrix ordered Hilbert spacenoncommutative \(L^2\)-spacesstandard form of von Neumann algebra

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative function spaces (46L52) Automorphisms of selfadjoint operator algebras (46L40)

Cites Work

• Cônes autopolaires et algèbres de Jordan
• On homomorphisms of an orthogonally decomposable Hilbert space
• Caractérisation des espaces vectoriels ordonnés sous jacents aux algèbres de Von Neumann
• Characterisation of matrix-ordered standard forms of W*-algebras.
• Absolute values in orthogonally decomposable spaces
• Completely positive projections on a Hilbert space